GCD of 540, 763, 784, 496 Calculator

Given Input numbers are 540, 763, 784, 496

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 540, 763, 784, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 763, 784, 496 is 1.

Therefore, GCD of numbers 540, 763, 784, 496 is 1

Given Input Data is 540, 763, 784, 496

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 763 is 7 x 109

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(540, 763) = 412020

GCD(540, 763) = ( 540 x 763 ) / 412020

GCD(540, 763) = 412020 / 412020

GCD(540, 763) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

GCD of 540, 763, 784, 496 is 1

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1. What is the GCD of 540, 763, 784, 496?

GCD of 540, 763, 784, 496 is 1

2. Where do I get the detailed procedure to find GCD of 540, 763, 784, 496?

You can find a detailed procedure to find GCD of 540, 763, 784, 496 on our page.

3. How to find GCD of 540, 763, 784, 496 on a calculator?

You can find the GCD of 540, 763, 784, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.